Research on the Effect of Lamprey Sex Ratio on Ecosystem Diversity Based on Predator-Prey Model

Xiwen Lyu; Yao Zhang; Linquan Dai; Zishu Yi; Wenjie Xu

doi:10.54097/sb9v8e08

Authors

Xiwen Lyu
Yao Zhang
Linquan Dai
Zishu Yi
Wenjie Xu

DOI:

https://doi.org/10.54097/sb9v8e08

Keywords:

Food supply, Lampreys sex ratio, Ecosystem diversity, Predator-prey model.

Abstract

Predator-prey models are valuable in predicting population dynamics and revealing the feedback effects of factors such as sex ratio on ecosystem diversity. Specifically, this study innovatively constructed a small-scale ecosystem differential equation model with a quadratic correction term for the sex ratio. It approximately linearly fitted the functional relationship between sex ratio and food availability. Subsequently, several sets of computer simulations were designed to iteratively model this ecosystem under several externally uncertain factors. The simulation results showed that the biodiversity index H peaked at about 0.74 when the sex ratio reached 0. while the ecosystem possessed the highest species richness. In addition, when the sex ratio varied between 0.56 and 0.78, the number of predators increased by an average of 15% per generation as the proportion of males increased, while the number of prey correspondingly decreased by about 10%. Meanwhile, the Shannon-Wiener index showed that the H-value increased nonlinearly with the increase of sex ratio less than 0.74, while the H-value began to decrease slowly when the sex ratio exceeded 0.74. The results show that the sex ratio has a significant effect on the level of ecosystem diversity.

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